A functional form for the energy spectrum parametrizing bottleneck and intermittency effects

A functional form for the energy spectrum is proposed, which includes a predissipative bottleneck effect and an intermittency correction. The form contains five parameters for which five constraints are formulated. Three of them are related to the condition that the integrals of the spectrum, E(k), k2E(k), and k4E(k), should yield appropriate values for total energy, enstrophy, and derivative skewness. Two extra conditions are inferred from the location and height of the intermittency corrected dissipation peak, which is found to be independent of Reynolds number (70<Reλ<1200) in high-resolution direct numerical simulations. Good representation of Direct Numerical Simulation (DNS) and experimental data is found for a range of Reynolds numbers Reλ between 250 and 1200.